What is the Greatest Common Factor of 55033 and 55044?

Greatest common factor (GCF) of 55033 and 55044 is 11.

GCF(55033,55044) = 11

We will now calculate the prime factors of 55033 and 55044, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55033 and 55044.

How to find the GCF of 55033 and 55044?

We will first find the prime factorization of 55033 and 55044. After we will calculate the factors of 55033 and 55044 and find the biggest common factor number .

Step-1: Prime Factorization of 55033

Prime factors of 55033 are 11, 5003. Prime factorization of 55033 in exponential form is:

55033 = 11¹ × 5003¹

Step-2: Prime Factorization of 55044

Prime factors of 55044 are 2, 3, 11, 139. Prime factorization of 55044 in exponential form is:

55044 = 2² × 3² × 11¹ × 139¹

Step-3: Factors of 55033

List of positive integer factors of 55033 that divides 55033 without a remainder.

1, 11, 5003

Step-4: Factors of 55044

List of positive integer factors of 55044 that divides 55033 without a remainder.

1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 139, 198, 278, 396, 417, 556, 834, 1251, 1529, 1668, 2502, 3058, 4587, 5004, 6116, 9174, 13761, 18348, 27522

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55033 and 55044. The biggest common factor number is the GCF number.
So the greatest common factor 55033 and 55044 is 11.

Also check out the Least Common Multiple of 55033 and 55044